5704574400 has 504 divisors, whose sum is σ = 24542313120. Its totient is φ = 1226833920.

The previous prime is 5704574389. The next prime is 5704574429. The reversal of 5704574400 is 44754075.

5704574400 is a `hidden beast` number, since 570 + 45 + 7 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1711936 + ... + 1715264.

Almost surely, 2^5704574400 is an apocalyptic number.

5704574400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5704574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12271156560).

5704574400 is an abundant number, since it is smaller than the sum of its proper divisors (18837738720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5704574400 is a wasteful number, since it uses less digits than its factorization.

5704574400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3381 (or 3363 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 5704574400 is about 75528.6329811417. The cubic root of 5704574400 is about 1786.7937151307.

The spelling of 5704574400 in words is "five billion, seven hundred four million, five hundred seventy-four thousand, four hundred".